Cheeger's energy on the Harmonic Sierpinski Gasket

2020/05/25 by Ugo Bessi, Bessi, Ugo
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2005.12024

Abstract

Koskela and Zhou have proven that, on the harmonic Sierpinski gasket with Kusuoka's measure, the "natural" Dirichlet form coincides with Cheeger's energy. We give a different proof of this result, which uses the properties of the Lyapounov exponent of the gasket.

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